Input TRS:
    1: a(a(y,|0|()),|0|()) -> y
    2: c(c(y)) -> y
    3: c(a(c(c(y)),x)) -> a(c(c(c(a(x,|0|())))),y)
Number of strict rules: 3
Direct Order(PosReal,>,Poly) ... removes: 2
   |0|()	weight: 0
     a(x1,x2)	weight: x1 + x2
     c(x1)	weight: 10451 + x1
Number of strict rules: 2
Direct Order(PosReal,>,Poly) ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #c(a(c(c(y)),x)) -> #a(c(c(c(a(x,|0|())))),y)
   #2: #c(a(c(c(y)),x)) -> #c(c(c(a(x,|0|()))))
   #3: #c(a(c(c(y)),x)) -> #c(c(a(x,|0|())))
   #4: #c(a(c(c(y)),x)) -> #c(a(x,|0|()))
   #5: #c(a(c(c(y)),x)) -> #a(x,|0|())
Number of SCCs: 1, DPs: 3, edges: 9
	SCC { #2..4 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
   |0|()	weight: 0
     a(x1,x2)	weight: x1 + x2
     c(x1)	weight: (/ 1 4) + x1
   #c(x1)	weight: x1
   #a(x1,x2)	weight: 0
    Usable rules: { 1 3 }
    Removed DPs: #3 #4
Number of SCCs: 1, DPs: 1, edges: 1
	SCC { #2 }
Removing DPs: Order(PosReal,>,Sum)... Order(PosReal,>,Max)... QLPOpS... Order(PosReal,>,MaxSum)... QWPOpS(PosReal,>,MaxSum)... Order(PosReal,>,Sum-Sum; PosReal,≥,Sum-Sum)... Order(PosReal,>,Sum-Sum; NegReal,≥,Sum)... Order(PosReal,>,MaxSum-Sum; NegReal,≥,Sum)... failed.
Removing edges: failed.
Finding a loop...  failed.
MAYBE